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299 commits

Author SHA1 Message Date
Floris van Doorn
ba5368c4ae feat(hott): various small changes 2017-05-22 00:56:05 -04:00
Floris van Doorn
0cf04ed3f2 feat(hott): port group_power and int/order from standard library. Update markdown files 2017-05-22 00:56:04 -04:00
Floris van Doorn
540d451e01 fix(hott): small fixes 2017-03-07 22:56:47 -05:00
Floris van Doorn
2d918bafaa feat(pointed): some definition changes to make reasoning about them easier 2017-01-18 22:25:26 +01:00
Floris van Doorn
249d57cd02 feat(hott): small additions and fixes 2017-01-18 22:24:59 +01:00
Floris van Doorn
55bdf2764b feat(homotopy/red_susp): prove that reduced suspension is equivalent to suspension, and some small things 2017-01-18 22:24:59 +01:00
Floris van Doorn
f87210fcf6 feat(hott): various small changes 2017-01-18 22:24:59 +01:00
Floris van Doorn
e87a27cb4b fix(hott/init/path): reorder arguments of whisker_right 2016-12-02 16:55:23 -08:00
Floris van Doorn
9342fe2716 feat(hott) move many lemmas to library, and cleanup various parts 2016-12-02 16:55:23 -08:00
Floris van Doorn
467001c0a9 feat(hott): minor changes 2016-09-18 02:13:21 -04:00
Jakob von Raumer
5c4aac6c8a feat(hott) add idenity for rezk completion 2016-07-09 10:31:41 -07:00
Jakob von Raumer
8d4ad591c8 feat(hott) add missing pathover lemmas 2016-07-09 10:31:41 -07:00
Floris van Doorn
3213b1b3b0 feat(EM): Prove some corollaries of Whitehead's principle, and prove that K(G,1) is unique. 
Also reorder the arguments of is_equiv_compose
 2016-07-09 10:20:22 -07:00
Floris van Doorn
17ccc283a9 feat(hott): move basic theorems from colimit development to library. 
Most notable changes:
rename apo011 -> apd011 and apd011 -> apdt011
make an argument of pathover_of_eq explicit
 2016-07-09 10:20:22 -07:00
Floris van Doorn
ae1b2e854c feat(hott): various minor changes 2016-07-09 10:20:21 -07:00
Floris van Doorn
15cdd593c1 feat(init.{equiv|ua}): remove duplicated theorem 2016-07-09 10:20:21 -07:00
Floris van Doorn
735230ad07 feat(hott): small changes, simplify van Kampen 2016-07-09 10:20:21 -07:00
Floris van Doorn
9f13527c25 chore(hott): update default files and some markdown files 2016-07-09 10:20:21 -07:00
Floris van Doorn
52dd6cf90b feat(hott): Port files from other repositories to the HoTT library. 
This commit adds truncated 2-quotients, groupoid quotients, Eilenberg MacLane spaces, chain complexes, the long exact sequence of homotopy groups, the Freudenthal Suspension Theorem, Whitehead's principle, and the computation of homotopy groups of almost all spheres which are known in HoTT.
 2016-05-06 14:27:27 -07:00
Floris van Doorn
8db4676c46 feat(hott): various changes and additions in the HoTT library 
Add more theorems about mapping cylinders, fibers, truncated 2-quotient, truncated univalence, pre/postcomposition with an iso in a precategory.

renamings: equiv.refl -> equiv.rfl and equiv_eq <-> equiv_eq'
 2016-05-06 14:27:27 -07:00
Floris van Doorn
f983724cf6 feat(pointed): merge pointed2 into pointed 
We move the basic notions of pointed types into init.pointed, to avoid cycles in the import graph. Also adds pointed versions of pi and sigma, with corresponding notation
 2016-04-11 09:45:59 -07:00
Floris van Doorn
54da5bcbda feat(hott): add some [constructor] attributes 2016-04-11 09:45:59 -07:00
Floris van Doorn
3887efa7c1 feat(hott): some renamings in init.path 2016-04-11 09:45:59 -07:00
Floris van Doorn
dc37ec954d refactor(hott): rename apdo to apd 2016-04-11 09:45:59 -07:00
Floris van Doorn
80a2e285cb feat(init/ua): add ua_symm and ua_trans 2016-04-11 09:45:59 -07:00
Floris van Doorn
05b59aecf8 refactor(hott): rename apd to apdt 2016-04-11 09:45:59 -07:00
Floris van Doorn
b1ed69f621 feat(hott): small changes, mostly in pointed2 2016-04-11 09:45:59 -07:00
Ulrik Buchholtz
1c52062f1e chore(hott): standardize names of homotopy_of_inv_homotopy_post and friends 2016-03-23 09:22:55 -07:00
Ulrik Buchholtz
bd9e47c82c feat(hott): functoriality of pushout; connectedness in is_conn namespace 
other changes:
- move result about connectedness of susp to homotopy.susp
- improved definition of circle multiplication
- improved the interface to join
 2016-03-23 09:22:55 -07:00
Floris van Doorn
1e10810a1e feat(init/funext): add function extensionality as an axiom. 
This allows us to keep track of theorems which use function extensionality, but not full univalence
 2016-03-06 13:03:31 -05:00
Floris van Doorn
671ef077b9 feat(hott): additions, mostly to types.trunc 2016-03-06 13:03:31 -05:00
Floris van Doorn
5cacebcf86 feat(hott): replace assert by have and merge namespace equiv.ops into equiv 
The coercion A ≃ B -> (A -> B) is now in namespace equiv. The notation ⁻¹ for symmetry of equivalences is not supported anymore. Use ⁻¹ᵉ
 2016-03-03 10:13:21 -08:00
Floris van Doorn
058000f61d feat(homotopy/homotopy_group): add theorems in section 8.3 of the HoTT book 2016-03-03 10:13:21 -08:00
Floris van Doorn
1903601ba5 refactor(trunc): rename namespace is_trunc.trunc_index to trunc_index 2016-03-03 10:13:20 -08:00
Floris van Doorn
e515875464 feat(hott): various additions 2016-03-03 10:13:20 -08:00
Floris van Doorn
c6e628da12 feat(hott): more computation rules for trunc_index and use nats for Lemma 8.6.2 2016-03-03 10:13:20 -08:00
Floris van Doorn
e5d5ef9d55 feat(hott/library): various changes and additions. 
Most notably:
Give le.refl the attribute [refl]. This simplifies tactic proofs in various places.
Redefine the order of trunc_index, and instantiate it as weak order.
Add more about pointed equivalences.
 2016-03-03 10:13:20 -08:00
Floris van Doorn
4238fdd3d8 fix(hott): add missing links to markdown files 2016-03-03 10:13:20 -08:00
Leonardo de Moura
fbe5188480 refactor(frontends/lean): remove 'by+' and 'begin+' tokens 2016-02-29 13:45:43 -08:00
Leonardo de Moura
b41c65f549 feat(frontends/lean): remove '[visible]' annotation, remove 'is_visible' tracking 2016-02-29 12:31:23 -08:00
Leonardo de Moura
cc8d9bc7ff refactor(hott): replace 'assert'-expr with 'have'-expr 2016-02-29 12:11:17 -08:00
Leonardo de Moura
5a4dd3f237 feat(library/reducible): remove [quasireducible] annotation 2016-02-25 17:42:44 -08:00
Leonardo de Moura
510168a387 refactor(library,hott): remove unnecessary annotations 2016-02-25 12:26:20 -08:00
Leonardo de Moura
1924b2884c refactor(library/tactic): remove 'append' and 'interleave' tacticals 
Preparation for major refactoring in the tactic framework.
 2016-02-24 16:02:16 -08:00
Sebastian Ullrich
3de216d302 chore(*.md): fix/remove broken links 2016-02-23 10:11:24 -08:00
Floris van Doorn
6cdbc0f79f feat(pointed/equiv): add more theorems 
The theorems are mostly about the interaction between pointed equivalences and pointed homotopies
Some of these theorems were missing for (unpointed) equivalences, so I also added them there
 2016-02-22 11:15:39 -08:00
Floris van Doorn
eea2a1ac91 feat(hott): add some more abstracts 2016-02-22 11:15:39 -08:00
Floris van Doorn
facd94a1b4 feat(hott): various changes 
more about pointed truncated types, including pointed sets.
also increase the priority of some basic instances that nat/num/pos_num/trunc_index have 0, 1 and + (in both libraries)
also move the notation + for sum into the namespace sum, to (sometimes) avoid overloading with add
 2016-02-22 11:15:38 -08:00
Floris van Doorn
43cf2ad23d style(hott): replace all other occurrences of hprop/hset 
They are replaced by either Prop/Set or prop/set
 2016-02-22 11:15:38 -08:00
Floris van Doorn
4e2cc66061 style(*): rename is_hprop/is_hset to is_prop/is_set 2016-02-22 11:15:38 -08:00